β-PRECONVEX SETS ON PRECONVEXITY SPACES

Title & Authors
β-PRECONVEX SETS ON PRECONVEXITY SPACES
Min, Won-Keun;

Abstract
In this paper, we introduce the concept of $\small{\beta}$-preconvex sets on preconvexity spaces. We study some properties for $\small{\beta}$-preconvex sets by using the co-convexity hull and the convexity hull. Also we introduce and study the concepts of $\small{{\beta}c}$-convex function and $\small{\beta^*c}$-convex function.
Keywords
preconvexity;co-convex sets;convexity;$\small{\beta^*c}$-convex function;$\small{{\beta}c}$-convex function;$\small{co\beta}$-preconvex sets;$\small{\beta}$-preconvex sets;
Language
English
Cited by
1.
STRONGLY C-CONVEX FUNCTIONS AND ALMOST C-CONVEX FUNCTIONS ON PRECONVEXITY SPACES,;

충청수학회지, 2010. vol.23. 3, pp.481-486
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